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at the start of the first example program is not technically needed It is, however, a valuable convenience The reason it s not necessary is that in C# you can always fully qualify a name with the namespace to which it belongs For example, the line

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ConsoleWriteLine("A simple C# program");

SystemConsoleWriteLine("A simple C# program");

Thus, the first example could be recoded as shown here:

Good Writing Starts with Clear Thinking 25 Choose Your Organizational Structure 25 Exercise 5: Select an Organizational Structure 40 Organize Your Thinking Using an Outline or Hub & Spokes 44 Exercise 6: Get Your Thoughts Down on Paper 50

// This version does not include "using System;" class Example { // A C# program begins with a call to Main() static void Main() { // Here, ConsoleWriteLine is fully qualified SystemConsoleWriteLine("A simple C# program"); } }

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Since it is quite tedious to always specify the System namespace whenever a member of that namespace is used, most C# programmers include using System at the top of their programs, as will all of the programs in this book It is important to understand, however, that you can explicitly qualify a name with its namespace if needed

Perhaps no other construct is as important to a programming language as the variable A variable is a named memory location that can be assigned a value It is called a variable because its value can be changed during the execution of a program In other words, the content of a variable is changeable, not fixed The following program creates two variables called x and y

// This program demonstrates variables using System; class Example2 { static void Main() { int x; // this declares a variable int y; // this declares another variable x = 100; // this assigns 100 to x ConsoleWriteLine("x contains " + x);

40 Introduction 41 Antiderivatives and Indefinite Integrals 411 The Concept of Antiderivative 412 The Indefinite Integral 42 Area 43 Signed Area 44 The Area Between Two Curves 45 Rules of Integration 451 Linear Properties 452 Additivity Quiz

2:

An Overview of C#

y = x / 2; ConsoleWrite("y contains x / 2: "); ConsoleWriteLine(y); } }

You can create indexers for multidimensional arrays, too For example, here is a twodimensional fail-soft array Pay close attention to the way that the indexer is declared

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Write Polished First Drafts 51 Write with Your Readers in Mind 51 Exercise 7: Calculate the Empathy Index 57 Exercise 8: Rewrite to Improve the Empathy Index 59

// A two-dimensional fail-soft array using System; class FailSoftArray2D { int[,] a; // reference to underlying 2D array int rows, cols; // dimensions public int Length; // Length is public public bool ErrFlag; // indicates outcome of last operation // Construct array given its dimensions public FailSoftArray2D(int r, int c) {

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rows = r; cols = c; a = new int[rows, cols]; Length = rows * cols; } // This is the indexer for FailSoftArray2D public int this[int index1, int index2] { // This is the get accessor get { if(ok(index1, index2)) { ErrFlag = false; return a[index1, index2]; } else { ErrFlag = true; return 0; } } // This is the set accessor set { if(ok(index1, index2)) { a[index1, index2] = value; ErrFlag = false; } else ErrFlag = true; } } // Return true if indexes are within bounds private bool ok(int index1, int index2) { if(index1 >= 0 & index1 < rows & index2 >= 0 & index2 < cols) return true; return false; } } // Demonstrate a 2D indexer class TwoDIndexerDemo { static void Main() { FailSoftArray2D fs = new FailSoftArray2D(3, 5); int x; // Show quiet failures ConsoleWriteLine("Fail quietly"); for(int i=0; i < 6; i++) fs[i, i] = i*10; for(int i=0; i < 6; i++) { x = fs[i,i]; if(x != -1) ConsoleWrite(x + " "); }

51 l'H pital's Rule 511 Introduction 512 l'H pital's Rule 52 Other Indeterminate Forms 521 Introduction 522 Writing a Product as a Quotient 523 The Use of the Logarithm 524 Putting Terms over a Common Denominator 525 Other Algebraic Manipulations 53 Improper Integrals: A First Look 531 Introduction

Part I: